Set Theory

Before you begin

Set theory is concerned with the concept of a set, essentially a collection of objects that we call elements. Because of its generality, set theory forms the foundation of nearly every other part of mathematics.

In order to make things easier for you as a reader, as well as for the writers, you will be expected to be familiar with a few topics before beginning. (I hope to have some links to other Wikibooks here soon.)

Mathematical Logic & Proofs

Mathematics is all about proofs. One of the goals of this book is to improve your skills at making proofs, but you will not learn any of the basics here.

Many constructions in set theory are simply generalizations of constructions in mathematical logic, and therefore logic is a necessity of learning set theory.